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On the refined maximum principle for degenerate elliptic and parabolic problems

✍ Scribed by Fabio Punzo; Alberto Tesei

Publisher: Elsevier Science
Year: 2009
Tongue: English
Weight: 538 KB
Volume: 70
Category: Article
ISSN: 0362-546X
DOI: 10.1016/j.na.2008.12.032

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✦ Synopsis

We extend the refined maximum principle in [H. Berestycki, L. Nirenberg, S.R.S. Varadhan, The principal eigenvalue and the maximum principle for second-order elliptic operators in general domains, Comm. Pure Appl. Math. 47 (1994) 47-92] to degenerate elliptic and parabolic equations with unbounded coefficients. Then we discuss the well-posedness of the corresponding Dirichlet boundary value problems.

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